Leveraging the adaptive characteristics of biological superorganisms, the Artificial Honeybee Colony (AHC) algorithm is an agent-based algorithm that integrates pollination models, particle swarm dynamics, and mutualistic plant-pollinator relations to generate new solution spaces and search for and generate resilient (or optimal) solutions to complex or nonlinear problems. The search space or environment adapts as solutions propagate using a density clustering algorithm, where only the higher quality solutions survive to cultivate into increasingly denser clusters via a pollination model. For verification, the AHC's capabilities were tested against particle swarm optimization and gradient descent with golden sections search for five benchmark functions given three different initial guesses ranging in proximities to the optimal solution. The AHC outperformed the other two methods in all five tests, locating optimal solutions in every case regardless of the initial guess' proximity to the optimum. Additionally, a global sensitivity analysis determined the most sensitive tunable parameter to be the pollination cluster radius, which determines the area new solutions appear within at each iteration via pollination. The results of these tests and applications demonstrate how the AHC's adaptive characteristics are beneficial in optimizing the resilience of highly interconnected, nonlinear, or complex problems where the user may have little to no former knowledge or intuition.